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Finding the Fourth Proportional to 12,613.64, 18,921.54 and 5,216.68

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Solution

The fourth proportional to 12,613.64, 18,921.54 and 5,216.68 is: 7,825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.64 : 18,921.54 = 5,216.68 : x
  2. Step 2: Convert to fraction form
    12,613.64/18,921.54 = 5,216.68/x
  3. Step 3: Cross multiply
    12,613.64x = 18,921.54 × 5,216.68
  4. Step 4: Simplify right side
    12,613.64x = 98,707,619.29
  5. Step 5: Solve for x
    x = 98,707,619.29/12,613.64
  6. Step 6: Final answer
    x = 7,825.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.